Analyzing Off-the-Peg Geoboard Squares

Author:
Matt Ciancetta
Search for other papers by Matt Ciancetta in
Current site
Google Scholar
PubMed Close
,
Steve Blair
Search for other papers by Steve Blair in
Current site
Google Scholar
PubMed Close
, and
Dan Canada
Search for other papers by Dan Canada in
Current site
Google Scholar
PubMed Close
Volume/Issue:
Volume 111: Issue 3
Page(s):
232–236
DOI:
https://doi.org/10.5951/mathteacher.111.3.0232
Restricted access
NCTM members GET ACCESS here

Consider the following scenario: Your students are working with standard five-peg by five-peg geoboards, and they find that by stretching rubber bands peg-to-peg, they might create some polygons having some or none of the vertices on the pegs. For example, consider figure 1: All the vertices of both the quadrilateral and the hexagon are considered “off-the-peg” (OTP) vertices.

Contributor Notes

Matt Ciancetta, ciancetm@mail.wou.edu

Steve Blair, sblair6@emich.edu

Dan Canada, dcanada@ewu.edu, originally became interested in the topic of GeoSquares while studying together at Portland State University. They are now math educators at different universities (Western Oregon, Eastern Michigan, and Eastern Washington, respectively) but continue to share a love for problem solving in geometry, probability, statistics, and other areas.

(Corresponding author is Ciancetta ciancetm@mail.wou.edu)
(Corresponding author is Blair sblair6@emich.edu)
(Corresponding author is Canada dcanada@ewu.edu)
  • Collapse
  • Expand
Mathematics Teacher
Cover Mathematics Teacher
Copyright:
The National Council of Teachers of Mathematics, Inc. All rights reserved. 2017
Page Count:
5
Article Category:
Research Article
Print Publication Date:
01 Nov 2017
Online Publication Date:
Nov 2017
All Time Past Year Past 30 Days
Abstract Views 208 114 1
Full Text Views 63 0 0
PDF Downloads 56 28 0
EPUB Downloads 0 0 0